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Surface magnetization of aperiodic ising quantum chains

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the surface magnetization of aperiodic Ising quantum chains. Using fermion techniques, exact results are obtained in the critical region for quasiperiodic sequences generated through an irrational number as well as for the automatic binary Thue-Morse sequence and its generalizations modulop. The surface magnetization exponent keeps its Ising value, β = 1/2, for all the sequences studied. The critical amplitude of the surface magnetization depends on the strength of the modulation and also on the starting point of the chain along the aperiodic sequence.

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References

  1. Schechtman, D., Blech, I., Gratias, D., Cahn, J.W.: Phys. Rev. Lett.53, 1951 (1984)

    Google Scholar 

  2. Henley, C.L.: Comments Cond. Mat. Phys.13, 59 (1987)

    Google Scholar 

  3. Janssen, T.: Phys. Rep.168, 55 (1988)

    Google Scholar 

  4. Guyot, P., Kramer, P., de Boissieu, M.: Rep. Prog. Phys.54, 1373 (1991)

    Google Scholar 

  5. Janot, C., Dubois, J.M., de Boissieu, M.: Am. J. Phys.57 972 (1989)

    Google Scholar 

  6. Godrèche, C., Luck, J.M., Orland, H.J.: J. Stat. Phys.45, 777 (1986)

    Google Scholar 

  7. Langie, G., Iglói, F.: J. Phys. A25, L487 (1992)

    Google Scholar 

  8. Luck, J.M., Nieuwenhuizen, Th.M.: Europhys. Lett.2, 257 (1986)

    Google Scholar 

  9. Tracy, C.A.: J. Phys. A21, L603 (1988); J. Stat. Phys.51, 481 (1988)

    Google Scholar 

  10. Iglói, F.: J. Phys. A21, L911 (1988)

    Google Scholar 

  11. Ceccatto, H.A.: Phys. Rev. Lett.62, 203 (1988); Z. Phys. B75, 253 (1989)

    Google Scholar 

  12. Henkel, M., Patkós, A.: J. Phys. A25, 5223 (1992)

    Google Scholar 

  13. Bombieri, E., Taylor, J.E.: J. Phys. Colloq.47, C3 19 (1986); Contemp. Math.64, 241 (1987)

    Google Scholar 

  14. Lieb, E.H., Schultz, T.D., Mattis, D.C.: Ann. Phys. (N.Y.)16, 406 (1961)

    Google Scholar 

  15. Peschel, I.: Phys. Rev. B30, 6783 (1984)

    Google Scholar 

  16. Jordan, P., Wigner, E.: Z. Phys.47, 631 (1928)

    Google Scholar 

  17. Pfeuty, P.: Ann. Phys. (N.Y.)57, 79 (1970)

    Google Scholar 

  18. Pfeuty, P.: Phys. Lett. A72, 245 (1979)

    Google Scholar 

  19. Axel, F., Allouche, J.P., Kléman, M., Mendès-France, M., Peyrière, J.: J. Phys. Colloq.47, C3 181 (1986)

    Google Scholar 

  20. Dekking, M., Mendès-France, M., van der Poorter, A.: Math. Intelligencer4, 130 (1983)

    Google Scholar 

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Turban, L., Berche, B. Surface magnetization of aperiodic ising quantum chains. Z. Physik B - Condensed Matter 92, 307–312 (1993). https://doi.org/10.1007/BF01308747

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  • DOI: https://doi.org/10.1007/BF01308747

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